{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "24a9df60",
   "metadata": {},
   "source": [
    "## Visualizing Statistical Relationships with Seaborn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "5135ed73",
   "metadata": {},
   "outputs": [],
   "source": [
    "import warnings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "0f00a626",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "from IPython.display import display\n",
    "from openbb import obb"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "6d7c76ef",
   "metadata": {},
   "outputs": [],
   "source": [
    "warnings.filterwarnings(\"ignore\")\n",
    "obb.user.preferences.output_type = \"dataframe\""
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1404110d",
   "metadata": {},
   "source": [
    "Fetches historical price data for \"AAPL\" and \"SPY\" starting from 2020-01-01 using the \"yfinance\" provider and pivots the data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "ba9e7b61",
   "metadata": {},
   "outputs": [],
   "source": [
    "data = obb.equity.price.historical(\n",
    "    [\"AAPL\", \"SPY\"], start_date=\"2020-01-01\", provider=\"yfinance\"\n",
    ").pivot(columns=\"symbol\", values=\"close\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d41576b2",
   "metadata": {},
   "source": [
    "Calculates the percentage change in prices and drops any NaN values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "6d234919",
   "metadata": {},
   "outputs": [],
   "source": [
    "returns = data.pct_change(fill_method=None).dropna()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "938679f0",
   "metadata": {},
   "source": [
    "Resets the index of 'returns'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "9a69f0d7",
   "metadata": {},
   "outputs": [],
   "source": [
    "returns = returns.reset_index()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b9916398",
   "metadata": {},
   "source": [
    "Melts the 'returns' DataFrame for easy plotting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "8a69fba5",
   "metadata": {},
   "outputs": [],
   "source": [
    "melted = pd.melt(\n",
    "    returns,\n",
    "    id_vars=[\"date\"],\n",
    "    value_vars=[\"AAPL\"],\n",
    "    var_name=\"stock\",\n",
    "    value_name=\"returns\",\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "832ea986",
   "metadata": {},
   "source": [
    "Adds a 'month' column to the melted DataFrame"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "c5996df8",
   "metadata": {},
   "outputs": [],
   "source": [
    "melted[\"month\"] = pd.to_datetime(melted.date).dt.to_period(\"M\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "469fcd41",
   "metadata": {},
   "source": [
    "Creates a boxplot of returns by month"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "878015cf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "g = sns.boxplot(x=\"month\", y=\"returns\", hue=\"stock\", data=melted)\n",
    "g.set_xticklabels(melted[\"month\"].unique(), rotation=45);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6ccd07e7",
   "metadata": {},
   "source": [
    "Creates a jointplot of \"SPY\" returns versus \"AAPL\" returns with a regression line"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "1253f6e1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "g = sns.jointplot(\n",
    "    x=\"SPY\",\n",
    "    y=\"AAPL\",\n",
    "    data=returns,\n",
    "    kind=\"reg\",\n",
    "    truncate=False,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ebe65e2b",
   "metadata": {},
   "source": [
    "Fetches the Dow Jones Industrial Average data from Wikipedia"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "cdddc4b3",
   "metadata": {},
   "outputs": [],
   "source": [
    "dji = pd.read_html(\"https://en.wikipedia.org/wiki/Dow_Jones_Industrial_Average\")[1]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6c6bd06f",
   "metadata": {},
   "source": [
    "Fetches historical price data for the DJI components starting from 2020-01-01 using the \"yfinance\" provider and pivots the data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "045d7fb5",
   "metadata": {},
   "outputs": [],
   "source": [
    "dji_data = (\n",
    "    obb.equity.price.historical(\n",
    "        dji.Symbol, start_date=\"2020-01-01\", provider=\"yfinance\"\n",
    "    )\n",
    ").pivot(columns=\"symbol\", values=\"close\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b09c7317",
   "metadata": {},
   "source": [
    "Calculates the percentage change in prices and drops any NaN values for the DJI data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "1aedaa6d",
   "metadata": {},
   "outputs": [],
   "source": [
    "dji_returns = dji_data.pct_change(fill_method=None).dropna()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "76b4e2af",
   "metadata": {},
   "source": [
    "Computes the correlation matrix for the DJI returns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "778e8d00",
   "metadata": {},
   "outputs": [],
   "source": [
    "corr = dji_returns.corr()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3de2806e",
   "metadata": {},
   "source": [
    "Generates a mask for the upper triangle of the correlation matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "3225be08",
   "metadata": {},
   "outputs": [],
   "source": [
    "mask = np.triu(np.ones_like(corr, dtype=bool))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6156525f",
   "metadata": {},
   "source": [
    "Generates a custom diverging colormap"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "11278e14",
   "metadata": {},
   "outputs": [],
   "source": [
    "cmap = sns.diverging_palette(230, 20, as_cmap=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "14a7bd65",
   "metadata": {},
   "source": [
    "Draws the heatmap with the mask and correct aspect ratio"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "eb451621",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='symbol', ylabel='symbol'>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rcParams[\"font.size\"] = 4\n",
    "sns.heatmap(\n",
    "    corr,\n",
    "    mask=mask,\n",
    "    cmap=cmap,\n",
    "    vmin=-1.0,\n",
    "    vmax=1.0,\n",
    "    center=0,\n",
    "    square=True,\n",
    "    linewidths=0.5,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ca634486",
   "metadata": {},
   "source": [
    "**Jason Strimpel** is the founder of <a href='https://pyquantnews.com/'>PyQuant News</a> and co-founder of <a href='https://www.tradeblotter.io/'>Trade Blotter</a>. His career in algorithmic trading spans 20+ years. He previously traded for a Chicago-based hedge fund, was a risk manager at JPMorgan, and managed production risk technology for an energy derivatives trading firm in London. In Singapore, he served as APAC CIO for an agricultural trading firm and built the data science team for a global metals trading firm. Jason holds degrees in Finance and Economics and a Master's in Quantitative Finance from the Illinois Institute of Technology. His career spans America, Europe, and Asia. He shares his expertise through the <a href='https://pyquantnews.com/subscribe-to-the-pyquant-newsletter/'>PyQuant Newsletter</a>, social media, and has taught over 1,000+ algorithmic trading with Python in his popular course **<a href='https://gettingstartedwithpythonforquantfinance.com/'>Getting Started With Python for Quant Finance</a>**. All code is for educational purposes only. Nothing provided here is financial advise. Use at your own risk."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "db09243b-1e8f-4c57-8d55-6d7f6022a8fe",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "jupytext": {
   "cell_metadata_filter": "-all",
   "main_language": "python",
   "notebook_metadata_filter": "-all"
  },
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
